Theorems · Theorem · commutative algebra
RingCon.coe_mul
∀ {R : Type u_1} [inst : Add R] [inst_1 : Mul R] (c : RingCon R) (x y : R), ↑(x * y) = ↑x * ↑y- Defined in
- Mathlib.RingTheory.Congruence.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingConstatement and proof · cited by 219
- RingCon.Quotientstatement · cited by 118
- RingCon.toQuotientstatement · cited by 69
Cited by2
Results whose statement or proof uses this declaration.
- DividedPowerAlgebra.induction_on'proof · cited by 1
- LinearAlgebra.FreeProduct.mul_injectionsproof · cited by 0